11 citations · 18 across the 13 of their papers we have counts for
15 papers
A Brezis--Merle inequality for the biharmonic operator with Dirichlet boundary conditions in four-dimensional balls
João Marcos do Ó, Federica Sani, Victor Rafael Silva
In this paper, we establish a Brezis-Merle type inequality for very weak solutions of the biharmonic Dirichlet problem in the four-dimensional unit ball. By combining this inequali…
Minimax solutions for FitzHugh-Nagumo systems with critical exponential growth
João Marcos do Ó, José Carlos de Albuquerque, Hugo Henryque Silva
We study a class of FitzHugh-Nagumo type systems with critical exponential growth in a smooth bounded domain of . The classical reduction method turns the strongly…
Weighted Hardy-Sobolev type inequalities with boundary terms
João Marcos do Ò, Marcelo Furtado, Everaldo Medeiros +1
In this paper we establish a new class of weighted Hardy-Sobolev type inequalities under mild monotonicity assumptions on the weight function. As a consequence, we derive the corre…
Classification of fractional, singular Yamabe metrics on a twice punctured sphere I
João Henrique Andrade, Azahara DelaTorre, João Marcos do Ò +2
The Delaunay metrics form a family of conformally flat, constant fractional Q-curvature metrics on a twice-punctured sphere. They are all (after a Möbius transformation) rotational…
Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains
Joao Marcos do O, Guozhen Lu, Raoni Ponciano
We establish embeddings on a class of Sobolev spaces with potential weights on unbounded domains. Our results provide embeddings into weighted Lebesgue spaces with radial p…
Asymptotics for singular solutions to conformally invariant fourth order systems in the punctured ball
João Henrique Andrade, João Marcos do Ó
We study the asymptotic behavior for singular solutions to a critical fourth order system generalizing the constant -curvature equation. Our main result extends to the case of s…
Qualitative properties for solutions to conformally invariant fourth order critical systems
João Henrique Andrade, João Marcos do Ó
We study qualitative properties for nonnegative solutions to a conformally invariant coupled system of fourth order equations involving critical exponents. For solutions defined in…
Solutions concentrating around the saddle points of the potential for Schrödinger equations with critical exponential growth
J. Zhang, J. M. do Ó, P. K. Mishra
In this paper, we deal with the following nonlinear Schrödinger equation where has critical growth of Trudinger-Moser type.…
Existence of bound and ground states for fractional coupled systems in
João Marcos do Ó, Edcarlos Domingos da Silva, José Carlos de Albuquerque
In this work we consider the following class of nonlocal linearly coupled systems involving Schrödinger equations with fractional laplacian $$ \left\{ \begin{array}{lr} (-Δ)^{s_{1}…
Concentration-compactness at the mountain pass level for nonlocal Schrödinger equations
João Marcos do Ó, Diego Ferraz
The aim of this paper is to study a concentration-compactness principle for inhomogeneous fractional Sobolev space for As an application we esta…
Concentration-compactness principle for nonlocal scalar field equations with critical growth
João Marcos do Ó, Diego Ferraz
The aim of this paper is to study a concentration-compactness principle for homogeneous fractional Sobolev space for As an a…
Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
João Marcos do Ó, Olímpio H. Miyagaki, Marco Squassina
We investigate the existence of ground state solutions for a class of nonlinear scalar field equations defined on whole real line, involving a fractional Laplacian and nonlineariti…
Schrödinger-Poisson systems with a general critical nonlinearity
Jianjun Zhang, João Marcos do Ó, Marco Squassina
We consider a Schrödinger-Poisson system involving a general nonlinearity at critical growth and we prove the existence of positive solutions. The Ambrosetti-Rabinowitz condition i…
Critical and subcritical fractional problems with vanishing potentials
João Marcos do Ó, Olimpio H. Miyagaki, Marco Squassina
We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are…
Nonautonomous fractional problems with exponential growth
João Marcos do Ó, Olimpio H. Miyagaki, Marco Squassina
We study a class of nonlinear non-autonomous nonlocal equations with subcritical and critical exponential nonlinearity. The involved potential can vanish at infinity.